1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Len [333]
2 years ago
15

According to a study published in the New England Journal of Medicine, overweight people on low-carbohydrate and Mediterranean d

iets lost more weight and got greater cardiovascular benefits than people on a conventional low-fat diet (The Boston Globe, July 17, 2008). A nutritionist wishes to verify these results and follows 30 dieters on the low-carbohydrate and Mediterranean diets and 30 dieters on the low-fat diet. These data (measured in pounds) can be found on the text website, labeled Different Diets. Let Low-carb or Mediterranean and Low-fat diets represent populations 1 and 2, respectively. Use Table 2.
Low-carb Low-carb/

Mediterrean Diets Low- Fat diet Mediterreand diet Low-fat Diet

9.5 6.5 6.8 5.9
8.1 5.8 9.1 6.9
10.4 9.9 9.4 9.1
11.9 5.1 10.2 8.0
11.8 8.0 9.5 8.9
12.6 6.3 9.5 3.4
6.7 6.3 9.4 4.6
9.6 4.4 12.0 6.2
11.6 5.7 9.9 4.6
8.4 5.9 9.7 6.7
9.0 6.8 9.2 4.6
7.5 5.1 13.0 7.1
7.2 6.3 11.3 11.0
8.5 5.5 13.6 4.5
8.8 5.5 9.0 3.9


a.Set up the hypotheses to test the claim that the mean weight loss for those on low-carbohydrate or Mediterranean diets is greater than the mean weight loss for those on a conventional low-fat diet.

H0: ?1 ? ?2 ? 0; HA: ?1 ? ?2 > 0
H0: ?1 ? ?2 = 0; HA: ?1 ? ?2 ? 0
H0: ?1 ? ?2 ? 0; HA: ?1 ? ?2 < 0

b-1.Using the appropriate commands in Excel, find the value of the test statistic. Assume that the population variances are equal and that the test is conducted at the 5% significance level. (Round your answer to 2 decimal places.)

Test statistic


b-2. What is the critical value and the rejection rule?
Reject H0 if tdf < -1.672.
Reject H0 if tdf < -2.002.
Reject H0 if tdf > 2.002.
Reject H0 if tdf > 1.672.

c. At the 5% significance level, can the nutritionist conclude that overweight people on low-carbohydrate or Mediterranean diets lost more weight than people on a conventional low-fat diet?
No
Yes

Low-carb/Mediterrean Diets Low-fat Diet
9.5 6.5
8.1 5.8
10.4 9.9
11.9 5.1
11.8 8
12.6 6.3
6.7 6.3
9.6 4.4
11.6 5.7
8.4 5.9
9 6.8
7.5 5.1
7.2 6.3
8.5 5.5
8.8 5.5
6.8 5.9
9.1 6.9
9.4 9.1
10. 2 8
9.5 8.9
9.5 3.4
9.4 4.6
12 6.2
9.9 4.6
9.7 6.7
9.2 4.6
13 7.1
11.3 11
13.6 4.5
9 3.9
Mathematics
1 answer:
Fed [463]2 years ago
6 0

Answer:

Step-by-step explanation:

a)

Here researcher claims that the mean weight loss for those on  low-carbohydrate or Mediterranean diets is greater than the mean  weight loss for those on a conventional low-fat diet

Set the null and alternative hypotheses to test the above claim as below.

H_0:\mu_1\leq\mu_2\\\\=H_0:\mu_1-\mu_2\leq 0 versus H_A:\mu_1 > \mu_2\\\\H_A:\mu_1 -\mu_2>0

b)

Assume that the variance of the two populations are equal.

Under the null hypothesis, the test statistics is defined as

t= \frac{\bar x_1 - \bar x_2}{s_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}}

where s_p=\sqrt{\frac{(n_1-1)s_1^2+(n_2-1)s_2^2}{n_1+n_2-2}}

Use the foll owing Excel instructions and conduct the above test.

Step1: Enter the datainto two columns of spreadsheet.

Step2: Select Data Analysis from Data ribbon.

Step3: Select t-test. Two-sample Assuming equal variances.

Step4: Input the data range for variable 1 and variable 2.

Step5: Enter 0 as the Hypothesized Mean Difference.

Step6: Click OK.

Thus, the resultant outout is as follows:

         

                                                       Low-carb                        Low-fat

Mean                                               9.773333333       6.283333333

Variance                                          3.197885057                    3.160747126

Observations                                  30                                      30

Pooled Variance                             3.179316092

Hypothesized Mean Difference     0

df                                                      58

t Stat                                                 7.580610844

P(T < = t) one-tail                              1.54916E - 10

t Critical one — tail                           1.671552762

P(T <2) two-tail                                  3.09831E - 10

t Critical two - tail                              2.001717484

1) From the above output, the test statistics is obtained as t =  7.5806

2) From the above output, the critical value for one-tailed testis  obtained as t_{crit}=1.672

Rejection rule:  Reject H_0 if t_{crit}>1.672

c)

At 5% level of significance, the calculated value of test statistics  is greater than the critical value.

Therefore, reject the null hypothesis.

Hence, the nutritionist conclude that overweight people on  low-carbohydrate or Mediterranean diets lost more weight than  people on a conventional low-fat diet.

You might be interested in
PLEASE ANSWER THIS QUESTION RIGHT Name the x-intercept(s)?<br> A:0 and 4,B:2,C:4,D:0.
harina [27]

Answer:

A. 0 and 4

Step-by-step explanation:

The x-intercepts are simply the values of x when y = 0. In other words it is the points where the line curve intercepts or cuts across the x-axis.

Form the graph given, we can see that at x = 0 and x = 4, the value of y = 0. Simply put, the curve cuts the x-axis at x = 0 and x = 4.

x-intercepts are 0 and 4.

7 0
2 years ago
HELP: Will Award Brainliest! Simplify 17x - 12 = 114 + 3x
mrs_skeptik [129]

Answer:

x=9

Step-by-step explanation:

17x - 12 = 114 + 3x

First  Subtract 3x from both sides

14x - 12 = 114

Add 12 to both sides

14x=126

Divide by GCF (14)

x=9

Hope this helps! Plz award Brainliest : )

5 0
3 years ago
Read 2 more answers
Veronica is saving money to buy a saddle for her horse thay costs $175. She plans to save $10 the first month she saves $5 each
shusha [124]
7 months. 10+15+20+25+30+35+40=175.
3 0
3 years ago
Bro please help for a brainlist for best answer !!!!!!
tatiyna

The domain of a function are the possible input values of the function.

<em>The domain of the function is (d) Whole numbers</em>

First, we identify the start and end values of x on the graph.

We have:

Start = 0

The graph has no end; so:

End = \infty

This means that the domain of the graph is (0,\infty)

The number of times one can visit the pool cannot be decimal.

Hence, the domain of the function is whole numbers

Read more about domain at:

brainly.com/question/15339465

4 0
3 years ago
Use the Chain Rule to find the indicated partial derivatives. z = x^4 + xy^3, x = uv^4 + w^3, y = u + ve^w Find : ∂z/∂u , ∂z/∂v
k0ka [10]

I'll use subscript notation for brevity, i.e. \frac{\partial f}{\partial x}=f_x.

By the chain rule,

z_u=z_xx_u+z_yy_u

z_v=z_xx_v+z_yy_v

z_w=z_xx_w+z_yy_w

We have

z=x^4+xy^3\implies\begin{cases}z_x=4x^3+y^3\\z_y=3xy^2\end{cases}

and

\begin{cases}x=uv^4+w^3\\y=u+ve^w\end{cases}\implies\begin{cases}x_u=v^4\\x_v=4uv^3\\x_w=3w^2\\y_u=1\\y_v=e^w\\y_w=ve^w\end{cases}

When u=1,v=1,w=0, we have

\begin{cases}x(1,1,0)=1\\y(1,1,0)=2\end{cases}\implies\begin{cases}z_x(1,2)=12\\z_y(1,2)=12\end{cases}

and the partial derivatives take on values of

\begin{cases}x_u(1,1,0)=1\\x_v(1,1,0)=4\\x_w(1,1,0)=0\\y_u(1,1,0)=1\\y_v(1,1,0)=1\\y_w(1,1,0)=1\end{cases}

So we end up with

\boxed{\begin{cases}z_u(1,1,0)=24\\z_v(1,1,0)=60\\z_w(1,1,0)=12\end{cases}}

3 0
3 years ago
Other questions:
  • Helppppp pleaseeeeeee
    9·2 answers
  • What digit is in the millions place in 808,715,710
    13·1 answer
  • For the equation, y = −3x + 5, tell whether its graph passes through the first quadrant
    12·1 answer
  • A single person earns a gross biweekly salary of $780 and claims 6 exemptions.  What is the person's net pay?
    8·1 answer
  • What is the axis of symmetry of the function f(x) =-(x+9)(x-21)
    15·2 answers
  • Need the answer to this.
    9·1 answer
  • The graph shown below expresses a radical function that can be written in the form f(x)=a(x+k)^1/n +c. What does the graph tell
    5·1 answer
  • I need the answer to 1 and 2
    14·1 answer
  • Jeremy wants to verify that the transformation shown is a dilation. He finds the lengths of segments QA and AD to be 4 units.
    15·2 answers
  • For the following two numbers, find two factors of the first number such that their product is the first number and their sum is
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!